2 years ago

Factor the following using greatest common factor 6x^2y^3 - 3x^5yz +15x^2y^2

Mathematics

1 answer:

Georgia [21]2 years ago

8 0

Answer:

-3 x^2 y (x^3 z - 2 y^2 - 5 y)

Step-by-step explanation:

6(x^2)(y^3)

3(x^5)(y)(z)

15(x^2)(y^2)

take the least power:

x : 2

y : 1

z : 0

6,3,15: 3

Greatest common factor:

3(x^2)(y)

Factorize:

-3 x^2 y (x^3 z - 2 y^2 - 5 y)

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2 years ago

A line has the same slope as the line 3x+9y=5 and passes though the point (-1,2).what is the equation of the line?

MrRissso [65]

Answer:

y = -1/3x + 5/3

Step-by-step explanation:

First solve the equation. Simply put it is y = -1/3x + 5/9.

So, we have our slope which is -1/3. Now just plug it in.

y - y1 = m(x - x1)

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3 years ago

Isaac wants to buy tomatoes and a loaf of bread. Tomatoes are $1.20 a pound, and a loaf of bread is $2.00. He has $8.00 to spend

Anestetic [448]

Answer:

Isaac has $4.80 left

Step-by-step explanation:

$1.20 + 2.00 = 3.20

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4 0

3 years ago

What is the answer to 7b-7-8b= -15

ozzi

Answer:

b=8

Step-by-step explanation:

7b-7-8b=-15

Combine like terms

-b-7=-15

Add 7 on both sides

-b=-15+7

-b=-8

Divide by -1

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8 0

2 years ago

Read 2 more answers

In triangle opq right angled at p op=7cm,oq-pq=1 determine the values of sinq and cosq

soldi70 [24.7K]

Answer:

see explanation

Step-by-step explanation:

let pq = x

given oq - pq = 1 then oq = 1 + x

Using Pythagoras' identity, then

(oq)² = 7² + x²

(1 + x)² = 49 + x² ( expand left side )

1 + 2x + x² = 49 + x² ( subtract 1 from both sides )

2x + x² = 48 + x² ( subtract x² from both sides )

2x = 48 ( divide both sides by 2 )

x = 24 ⇒ pq = 24

and oq = 1 + x = 1 + 24 = 25 ← hypotenuse

sinq = $\frac{opposite}{hypotenuse}$ = $\frac{7}{25}$

cosq = $\frac{adjacent}{hypotenuse}$ = $\frac{24}{25}$

6 0

3 years ago